What is the Greatest Common Factor of 12425 and 12439?

Greatest common factor (GCF) of 12425 and 12439 is 7.

GCF(12425,12439) = 7

We will now calculate the prime factors of 12425 and 12439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12425 and 12439.

How to find the GCF of 12425 and 12439?

We will first find the prime factorization of 12425 and 12439. After we will calculate the factors of 12425 and 12439 and find the biggest common factor number .

Step-1: Prime Factorization of 12425

Prime factors of 12425 are 5, 7, 71. Prime factorization of 12425 in exponential form is:

12425 = 5² × 7¹ × 71¹

Step-2: Prime Factorization of 12439

Prime factors of 12439 are 7, 1777. Prime factorization of 12439 in exponential form is:

12439 = 7¹ × 1777¹

Step-3: Factors of 12425

List of positive integer factors of 12425 that divides 12425 without a remainder.

1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485

Step-4: Factors of 12439

List of positive integer factors of 12439 that divides 12425 without a remainder.

1, 7, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12425 and 12439. The biggest common factor number is the GCF number.
So the greatest common factor 12425 and 12439 is 7.

Also check out the Least Common Multiple of 12425 and 12439